Category:Definitions/Neumann Series
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This category contains definitions related to Neumann Series.
Related results can be found in Category:Neumann Series.
Let $T$ be an operator.
Let $\circ$ denote the composition.
Let $I$ be the identity mapping.
For any $k \in \N$ let $T^k = \underbrace{T \circ T \circ \ldots \circ T \circ T}_{k \text{ times} }$ and $T^0 = I$
Then the series $\ds \sum_{k \mathop = 0}^\infty T^k$ are known as Neumann series.
Pages in category "Definitions/Neumann Series"
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